EE230: Signals & Systems

EE230, Signals and Systems, introduces the Fourier and Laplace transforms as methods to model and analyze continuous-time linear systems (primarily first and second-order circuits) in the frequency domain. Parallels between the time and frequency domains are discussed, and sampling and filter design issues are developed. The course makes extensive use of Matlab as a computational and visualization tool. Labs reinforce theory and develop hardware skills. Prerequisites: EE 223 and MA311. (3 lecture hours)


Lecture Schedule

In the following table, the readings and homework are assigned on the day listed and due on the following lesson. The readings are taken from the custom-printed class textbook unless otherwise noted.

# Date Title Read Homework & Handouts
Laplace Transforms Chapter 15
1 15 Jan Laplace Transforms by integrals 15.1,2 PS Lecture 01, Syllabus , CP1 & Solutions
2 20 Laplace Transforms by tables 15.3 PS Lecture 02, LT Tables, CP2 & Solutions
3 22 Inverse Laplace Transform 15.4 PS Lecture 03, CP3 & Solutions
4 27 Convolution 15.5 PS Lecture 04, CP4 & Solutions
Application of Laplace Transforms Chapter 16
5 29 Circuit elements 16.1,2 PS Lecture 05, CP5 & Solutions
6 3 Feb Circuit analysis 16.3 PS Lecture 06 (no CPs)
7 5 Transfer functions 16.4 PS Lecture 07, CP7 & Solutions
8 10 State variables 16.5 PS Lecture 08, CP8 & Solutions
Test Block 1 - Laplace Transforms Chapters 15 & 16
9 12 Test 1 Review Test 1 Topics, Example Test & Solutions
10 17 Test 1
Frequency Response & Filter Design Chapter 14
11 19 Transfer functions 14.1,2 PS Lecture 11, CP11 & Solutions
12 24 Bode plots 14.3,4 PS Lecture 12, CP 12 & Solutions
13 26 Lab: Filter design: Remove vocals Lab Lab: due 6 March, including checkoff, Spice walkthrough
14 3 Mar Lab: Filter design: Remove vocals Lab see above
Fourier Series Chapter 17
15 5 Trigonometric Fourier Series
17.1,2 PS Lecture 15, CP15 & SolutionsFourier equations.
16 10 Symmetry 17.3 PS Lecture 16, CP16 & Solutions
17 12 Circuit applications 17.4 PS Lecture 17, CP17 & Solutions
18 24 Average, RMS power
17.5 PS Lecture 18, CP18 & Solutions
19 26 Exponential Fourier Series 17.6 PS Lecture 19, CP19 & Solutions
Test Block 2 - Fourier Series Chapters 14, 17, Lab notes  
20 27 Test 2 Review Test 2 Topics, Example Test & Solutions
21 2 Apr Test 2
Fourier Transforms Chapter 18  
22 7 Fourier Transforms by integrals 18.1,2 PS Lecture 22, CP22 & Solutions
23 14 Fourier Transforms by tables 18.3 PS Lecture 23, CP23 & Solutions
24 16 Fourier Transform applications 18.4 PS Lecture 24, CP24 & Solutions
25 21 Parsevals, FT vs. LT 18.5,6 Prepare for review
Review Chapters 14 - 18
26 23 Review Test Block 1, admin Final Exam Topics
27 28 Review, Test Block 2
28 30 Extra TR class    
Final 5 May Final exam: 0830

Other

Active Filter Design for Matlab: Can design and analyze active filters up to 8th order, and can show their effect upon pre-recorded or user-provided waveforms

Active Filter Design Manual for above program

Complex S-plane System Transfer Function Explorer (drag poles and zeros to create arbitrary system and observe its time and frequency response)

Three Phase Power Demonstration (click and drag the vector heads on the left half pane)